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Finding the Fourth Proportional to 908.60, 1,362.42 and 360.50

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Solution

The fourth proportional to 908.60, 1,362.42 and 360.50 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.60 : 1,362.42 = 360.50 : x
  2. Step 2: Convert to fraction form
    908.60/1,362.42 = 360.50/x
  3. Step 3: Cross multiply
    908.60x = 1,362.42 × 360.50
  4. Step 4: Simplify right side
    908.60x = 491,145.60
  5. Step 5: Solve for x
    x = 491,145.60/908.60
  6. Step 6: Final answer
    x = 540.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.